Search a number
-
+
74122706320 = 24513139512747
BaseRepresentation
bin100010100001000001…
…1101011110110010000
321002022201221121202021
41011002003223312100
52203300403100240
654015042501224
75232554415415
oct1050203536620
9232281847667
1074122706320
1129487376383
1212447664814
136cb35cca50
14383238c10c
151ddc52354a
hex11420ebd90

74122706320 has 80 divisors (see below), whose sum is σ = 186927410880. Its totient is φ = 27171436032.

The previous prime is 74122706293. The next prime is 74122706321. The reversal of 74122706320 is 2360722147.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (74122706321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111814 + ... + 400933.

It is an arithmetic number, because the mean of its divisors is an integer number (2336592636).

Almost surely, 274122706320 is an apocalyptic number.

It is an amenable number.

74122706320 is an abundant number, since it is smaller than the sum of its proper divisors (112804704560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

74122706320 is a wasteful number, since it uses less digits than its factorization.

74122706320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512912 (or 512906 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 34.

The spelling of 74122706320 in words is "seventy-four billion, one hundred twenty-two million, seven hundred six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 139 208 260 278 520 556 695 1040 1112 1390 1807 2224 2780 3614 5560 7228 9035 11120 14456 18070 28912 36140 72280 144560 512747 1025494 2050988 2563735 4101976 5127470 6665711 8203952 10254940 13331422 20509880 26662844 33328555 41019760 53325688 66657110 71271833 106651376 133314220 142543666 266628440 285087332 356359165 533256880 570174664 712718330 926533829 1140349328 1425436660 1853067658 2850873320 3706135316 4632669145 5701746640 7412270632 9265338290 14824541264 18530676580 37061353160 74122706320